Looks like the best economical option for CDs is getting a bluray player! Sony, LG, or Panasonic are all nice brands. If you must get a dedicated CD player look into Onkyo, Sony, Phillips.
For new record players unless you want to spend more than 500, go with Audiotechnica. I'd recommend the AT-LP120 so you can change cartridges but the AT-LP70 is pretty decent too (and lets you change styluses).
I think the 120 comes with the AT95E cartridge and needle already but if you get the 70 get an official ATN95E stylus for your unit to replace its default. This budget stylus/cartridge to this day I still prefer for MJ music despite me also having more expensive ones.
If you can find vintage turntables, Kenwood, Pioneer, and Technics are all nice brands in my experience, just make sure the tonearm is curved and not a straight line.
Never get the Crosleys or Victrola brand turntables even if they are cheaper.
If you have other vinyl questions feel free to reach out.
For Invincible get the 2001 vinyl it is much punchier than the represses.
edit: Just saw how much he Invincible original is worth now, yeeesh, in 2011 they were worth maybe 50 now they are 200. The difference isnt that revelatory to be worth the price gap.
Definitely get vintage original pressings though for OTW, Thriller, Bad, and Dangerous though! Those are a huge difference verse the represses and are pretty plentiful anyways. The Jacksons/J5 stuff is also very cheap and easy to find (find a discogs seller that has a bunch of items you want to bundle shipping).
OTW and Bad both have differences in the very first pressings that were changed over time.
I have HIStory and BOTDF originals as well but those are very very pricey now.